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Finding the Third Proportional to 738,021.38 and 1,205,122.43

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Solution

The third proportional to 738,021.38 and 1,205,122.43 is: 1,967,856.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,021.38 : 1,205,122.43 = 1,205,122.43 : x
  2. Step 2: Convert to fraction form
    738,021.38/1,205,122.43 = 1,205,122.43/x
  3. Step 3: Cross multiply
    738,021.38x = 1,205,122.43 × 1,205,122.43
  4. Step 4: Simplify right side
    738,021.38x = 1,452,320,070,535.90
  5. Step 5: Solve for x
    x = 1,452,320,070,535.90/738,021.38
  6. Step 6: Final answer
    x = 1,967,856.38

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.